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If f(x) = |x| + 9 and g(x) = –6, which describes the value of (f + g)(x)? a.)(f + g)(x)≥3 for all values of x b.)(f + g)(x) ≤ 3 for all values of x c.)(f + g)(x) ≤ 6 for all values of x d.)(f + g)(x) ≥6 for all values of x

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Answer:

Answer (a)

Step-by-step explanation:

(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.

Since |x| cannot be less than zero, the range of this composite function

(f + g)(x) = |x| + 3 is [3, infinity).  That is, the smallest value is 3.  This corresponds to Answer (a).

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